Lean-Workbook Plus 19076: Logarithmic identity

Proved

WorkbookRestored.plus_19076

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

If $a=e$ and $b=\log2$ as real numbers, then $a^b=2$ .

Source: Lean-Workbook row lean_workbook_plus_19076 (Apache-2.0). The unchanged proposition comes from the original record; its missing mathematical imports and namespaces are restored here.

Preamble

import Mathlib.Analysis.SpecialFunctions.Log.Base
open Real

Formal statement

theorem WorkbookRestored.plus_19076 (a b : ℝ) (ha : a = Real.exp 1) (hb : b = Real.log 2) : a^b = 2   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_19076; immutable original Prove2Me node 49ee04a3-4a52-47a5-be6b-e23fbe3301c4

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